Can anybody explain how to solve this?
Find the distance from the intersection of the lines 2x-3y=6 and x+5y+8=0 to the midpoint of the segment joining the points P(2,6) and Q(-2,3)

Question

Can anybody explain how to solve this?
Find the distance from the intersection of the lines 2x-3y=6 and x+5y+8=0 to the midpoint of the segment joining the points P(2,6) and Q(-2,3)

ganeshie8 · Answer

find the intersecting point of given lines
find the midpoint of given points
apply distance formula

anonymous · Answer

I already got the distance. But I don't know how to rationalize square roots.

ganeshie8 · Answer

sounds good :) wud be good if u can click on "Draw"  button below, and  show what u got

anonymous · Answer

|dw:1373256650344:dw|
How to rationalize? :D

ganeshie8 · Answer

to rationalize bottom, simply multiply top and bottom with $\large \sqrt{52}$

ganeshie8 · Answer

|dw:1373199276853:dw|